What is the Least Common Multiple of 67130 and 67137?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 67130 and 67137 is 643843830.
LCM(67130,67137) = 643843830
Least Common Multiple of 67130 and 67137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67130 and 67137, than apply into the LCM equation.
GCF(67130,67137) = 7
LCM(67130,67137) = ( 67130 × 67137) / 7
LCM(67130,67137) = 4506906810 / 7
LCM(67130,67137) = 643843830
Least Common Multiple (LCM) of 67130 and 67137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67130 and 67137. First we will calculate the prime factors of 67130 and 67137.
Prime Factorization of 67130
Prime factors of 67130 are 2, 5, 7, 137. Prime factorization of 67130 in exponential form is:
67130 = 21 × 51 × 72 × 1371
Prime Factorization of 67137
Prime factors of 67137 are 3, 7, 23, 139. Prime factorization of 67137 in exponential form is:
67137 = 31 × 71 × 231 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 67130 and 67137.
LCM(67130,67137) = 21 × 51 × 72 × 1371 × 31 × 231 × 1391
LCM(67130,67137) = 643843830
Related Least Common Multiples of 67130
- LCM of 67130 and 67134
- LCM of 67130 and 67135
- LCM of 67130 and 67136
- LCM of 67130 and 67137
- LCM of 67130 and 67138
- LCM of 67130 and 67139
- LCM of 67130 and 67140
- LCM of 67130 and 67141
- LCM of 67130 and 67142
- LCM of 67130 and 67143
- LCM of 67130 and 67144
- LCM of 67130 and 67145
- LCM of 67130 and 67146
- LCM of 67130 and 67147
- LCM of 67130 and 67148
- LCM of 67130 and 67149
- LCM of 67130 and 67150
Related Least Common Multiples of 67137
- LCM of 67137 and 67141
- LCM of 67137 and 67142
- LCM of 67137 and 67143
- LCM of 67137 and 67144
- LCM of 67137 and 67145
- LCM of 67137 and 67146
- LCM of 67137 and 67147
- LCM of 67137 and 67148
- LCM of 67137 and 67149
- LCM of 67137 and 67150
- LCM of 67137 and 67151
- LCM of 67137 and 67152
- LCM of 67137 and 67153
- LCM of 67137 and 67154
- LCM of 67137 and 67155
- LCM of 67137 and 67156
- LCM of 67137 and 67157